What the measure of AOB?

Answer:

The set of solutions are linearly independent because the wronskian is

e^(2ax) ≠ 0

Step-by-step explanation:

To show that the set of solutions {e^(ax), xe^(ax)} are linearly independent, we find the Wronskian of the set of solutions.

Wronskian of y1 and y2 is given as:

W(y1, y2) = y1y2' - y1'y2

y1 = e^(ax)

y1' = ae^(ax)

y2 = xe^(ax)

y2' = axe^(ax) + e^(ax)

W(y1, y2) = e^(ax)[axe^(ax) + e^(ax)] - ae^(ax).xe^(ax)

= (ax + 1)e^(2ax) - axe^(2ax)

= e^(2ax)

The wronskian of the given set of solutions is e^(2ax), which is not zero.

Because it is not zero, the set of solutions are linearly independent.

Answer:

Step-by-step explanation:

Given two vectors a = (4, 2, -4) and b = (4, -3, 2), the formula to be used to calculate the angles between both vectors is as expressed below;

[tex]a.b = |a||b| cos \theta[/tex] where [tex]\theta[/tex] is the angle between both vectors

a.b = (4, 2, -4). (4, -3, 2)

a.b = 4(4)+2(-3)+2(-4)

a.b = 16-6-8

a.b = 16-14

a.b = 2

Given |r| = √x²+y²+z²

|a| = √4²+2²+(-4)²

|a| = √16+4+16

|a| = √36

|a| = 6

Similarly;

|b| = √4²+(-3)²+2²

|b| = √16+9+4

|b| = √29

Substituting the parameters gotten into the formula to get the angle between the two vectors a and b we will have;

[tex]a.b = |a||b| cos \theta\\2 = 6*\sqrt{29} \ cos \theta\\ cos\theta = \dfrac{2}{6\sqrt{29} } \\cos\theta = \dfrac{1}{3\sqrt{29} }\\ cos\theta = 0.0619\\\theta = cos ^{-1}0.0619\\ \theta = 86.45^0 (to \ 2dp)[/tex]

Hence the angle between vectors a and b is 86.45°

Answer:

The correct answer is option A. A and C

Step-by-step explanation:

From the given situation above, here is the solution:

Friend A. 13 hours x $ 6.95 = $90.35 x 8 weeks = $722.80

Friend B. 15 hours x $ 5.85 = $87.75 x 8 weeks = $702

Friend C. 18 hours x $ 5.25 = $94.5 x 8 weeks = $756

Friend D. 11 hours x $ 7.80 = $85.8 x 8 weeks = $686.40

Therefore, the individuals who reached their goal of saving $720 for a vacation are friend A and friend C. The correct answer is option A. A and C.

Answer:

The correct answer is A.     A and C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.

Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);

hyp² = opp² + adj²

Let the opposite be the 9cm length

Adjacent will be half of the chord length = 15/2 = 7.5cm

Substituting this values into the formula we will have;

hyp² = 9² + 7.5²

hyp² = 81+56.25

hyp² = 137.25

hyp² = √137.25

hyp = 11.72

Hence the radius of the circle is approximately 11.72 cm long

Answer:

Step-by-step explanation:

90/n

Answer:

Step-by-step explanation:

The question lacks appropriate diagram. Find the diagram in the attachment.

The triangle is a right angles triangle and the unknown side is the hypotenuse which is the longest side of a triangle and the other two sides are the opposite and the adjacent

Using the Pythagoras theorem to find the length of the hypotenuse, we will have;

hyp²= opp²+adj²

hyp²= 15²+3²

hyp²= 225+9

hyp²= 234

hyp = √234

hyp = 15.2971

Hence the length of the unknown side is 15.2971ft

Answer:

rhombus

Step-by-step explanation:

if you flip a rhombus(diamond) shaped sandwich over it is still shaped like a rhombus

hope i helped

Answer:

24

Step-by-step explanation:

The most important thing to note here is that there are no parentheses defining what to do when.

Therefore, we have to use order of operations - PEMDAS, to find the expression's value.

PEMDAS states that the order you go in is:

1. Parentheses

2. Exponents

3. Multiplication/Division

4. Addition/Subtraction

[tex]6^2-3\cdot4[/tex]

There are no parentheses, so first we have to solve the exponent.

[tex]6^2=36\\\\36-3\cdot4[/tex]

Now we have to multiply.

[tex]36-12[/tex]

And now subtract.

[tex]24[/tex]

Hope this helped!

Answer:

6^2 - 3×4 = 24/1 = 24....

Complete Question

CoStar would like to test if the vacancy rate for "warehouse" stores is more          than 8%. A type 1 error would occur if CoStar concludes that the vacancy rate was

A: not equal to 8% when, in reality, the proportion was equal to 8%

B: 8% or less when, in reality, the proportion was more than 8%

C: equal to 8% when, in reality, the proportion was 8% or less

D: more than 8% when, in reality, the proportion was 8% or less

Answer:

The correct option is  D

Step-by-step explanation:

From the question we are told that

CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%.

Hence

The null hypothesis is  [tex]H_o : p \le 0.08[/tex]

The  alternative hypothesis is  [tex]H_a : p> 0.08[/tex]

 Generally type 1 error occurs when null hypothesis is rejected while it is true

So Type I error would occur if CoStar concludes that the vacancy rate was more than 8% when, in reality, the proportion was 8% or less

Answer:

______________________________

106/120 = .8833 complaints per hour i think.

______________________________

Answer:

-56

Step-by-step explanation:

It technically means -8 times 7.

Answer:

13cm

Step-by-step explanation:

104 × 2 = 208

208 ÷ 16 = 13cm

(13 × 16) ÷ 2 = 104cm²

Answer:

13 cm

Step-by-step explanation:

Area = 1/2×base×height

Formula  for area:

Solving for b:

Answer is 13 cm

Answer:

sale price = $145.56

Step-by-step explanation:

The regular price of one bicycle is $181.95

20% discount

sale price = original price - ( % discount x original price )

sale price = $181.95 - (0.20 * $181.95)

sale price = $181.95 - $36.39

sale price = $145.56

Answer!

Work backwards to find the factors from the roots, then multiply the factors together. f=x^2−7x/3+2/3

Answer:

0.1949

Step-by-step explanation:

Given a normal distribution with;

Mean(m) = 8.8 inches

Standard deviation (sd) = 0.7 inches

If one item is chosen at random, what is the probability that it is less than 8.2 inches long?

Find the Z-score :

x = 8.2 inches

Z = (x - m) / sd

Zscore = (8.2 - 8.8) / 0.7

Zscore = - 0.6 / 0.7

Zscore = - 0.857 = - 0.86

P(Z < - 0.86) :

From z distribution table :

P(Z < - 0.86) = 0.1949

If one item is chosen at random, there is a probability of 0.1949 that it will be less than 8.2 inches long.

Answer:

if its asking for the tenths place its 3.7

if its asking for the ones place its 4

Step-by-step explanation:

Answer:

Q1: Communtative property of multiplication

Q2: Commutative property of addition

Step-by-step explanation:

Hope this helps!!!!!!!

(a) Area of rectangle = 1.67 squares in

(b) Area of rectangle = 3.33 squares in

(c) Area of rectangle = 6.67 squares in

(d) Area of rectangle = 0.53 squares in

(e) Area of rectangle = 1 squares in

The area of a rectangle is defined as the product of the length and width.

(a) Length of rectangle =  5 in and

Width of rectangle =  1/3 in

Area of rectangle = 5 × 1/3 = 5/3 = 1.67 square in

(b) Length of rectangle =  5/2 in and

Width of rectangle =  4/3 in

Area of rectangle = 5/2 × 4/3 = 20/6 = 3.33 square in

(c) Length of rectangle =  5 in and

Width of rectangle = 4/3 in

Area of rectangle = 5 × 4/3 = 20/3 = 6.67 square in

(d) Length of rectangle =  2/5 in and

Width of rectangle = 4/3 in

Area of rectangle = 2/5 × 4/3 = 8/15 = 0.53 square in

(e) Length of rectangle =  7/6 in and

Width of rectangle = 6/7 in

Area of rectangle = 7/6 × 6/7 = 42/42 = 1 square in

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2

Answer:

Distribute

6(x+2)

= 6×x+6×2

So 6x+12

Answer:

-3x^12y^-6

Step-by-step explanation:

Answer:

13x + 6

Step-by-step explanation:

5x + 2(4x + 3)

distribute the 2

2 • 4x = 8x

2 • 3 = 6

5x + 8x + 6

combine like terms

13x + 6

Answer:

Step-by-step explanation:

5x+2(4x+3)

=5x+8x+6

=13x+6

Answer:

  2300

Step-by-step explanation:

When you multiply by 10, each place value moves one to the left: hundreds become thousands, tens become hundreds.

(2 hundreds 3 tens) × 10 = 2 thousands 3 hundreds

In numbers (standard form), this is ...

  230 × 10 = 2300

Answer:

3 customers brought all the three papers.

Step-by-step explanation:

Let, D, O and N represents the three newspapers.

D = The daily times

O = The observer

N = The new Nigeria.

According to the given information,

[tex]n(D\cup O\cup N)=135, n(D)=70,n(O)=60,n(N)=50[/tex]

[tex]n(D\cap O)=17, n(O\cap N)=15, n(D\cap N)=16[/tex]

We know that,

[tex]n(A\cup B\cup C) = n(A) + n(B) + n(C)-n(A\cap B)-n(B\cap C)-n(C\cap A) + n(A\cap B\cap C)[/tex]

Using this formula, we get

[tex]n(D\cup O\cup N) = n(D)+n(O) + n(N)-n(D\cap O)-n(O\cap N)-n(N\cap D) + n(D\cap O\cap N)[/tex]

[tex]135 =70+60+50-17-15-16 +n(D\cap O\cap N)[/tex]

[tex]135 =132+n(D\cap O\cap N)[/tex]

[tex]135 -132=n(D\cap O\cap N)[/tex]

[tex]3=n(D\cap O\cap N)[/tex]

Therefore, 3 customers brought all the three papers.

Answer:

104%

Step-by-step explanation:

if it has to do with percentages

Answer:

D

Step-by-step explanation:

First, let's define each of the terms.

Scalene refers to triangles whose three sides and three angles all have different measures.

Isosceles refers to triangles who has two equivalent angles and sides.

Right triangles are triangles with one right angle.

So we know that the triangle has one 90 degrees and 2 45 degree angles.

In other words, this is an isosceles triangle.

And since it also contains a 90 degree angle, it means that the triangle is an isosceles right.

The answer is D

Greetings from Brasil...

The volume of a sphere is given by the expression:

where R = radius

So

V = (4πR³)/3

V = (4.π.12³)/3

V = (4.π.1728)/3

V = 6912π/3

or

V = 7,238.23cm³

Answer:

i think but I am not sure so maybe ask somebody else but I think it is A.

Step-by-step explanation:

I just think it is

Answer:

-1

Step-by-step explanation:

We have our expression

6 - 4x = 7x - 9x + 8

Combine like terms

6 - 4x = -2x + 8

Add 2x to both sides, and subtract 6 from both sides

-2x = 2

x = -1

Answer:

-2x − 2 = 0 is the answer to this